Question

1. $x = 2y + 7$

$3x - 2y = 3$

Explanation:

Step1: Substitute \( x = 2y + 7 \) into \( 3x - 2y = 3 \)

Substitute \( x \) in the second equation: \( 3(2y + 7) - 2y = 3 \)

Step2: Simplify the equation

Expand and combine like terms: \( 6y + 21 - 2y = 3 \) → \( 4y + 21 = 3 \)

Step3: Solve for \( y \)

Subtract 21 from both sides: \( 4y = 3 - 21 = -18 \) → \( y = \frac{-18}{4} = -\frac{9}{2} \)

Step4: Solve for \( x \)

Substitute \( y = -\frac{9}{2} \) into \( x = 2y + 7 \): \( x = 2(-\frac{9}{2}) + 7 = -9 + 7 = -2 \)

Answer:

\( x = -2 \), \( y = -\frac{9}{2} \)